TY - BOOK AU - Gérald Tenenbaum AU - Michel Mendès France TI - The prime numbers and their distribution T2 - Student Mathematical Library SN - 9781470419172 AV - QA246 PY - 2000///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - Chapter 1. Genesis: From Euclid to Chebyshev Chapter 2. The Riemann zeta function Chapter 3. Stochastic distribution of prime numbers Chapter 4. An elementary proof of the prime number theorem Chapter 5. The major conjectures N2 - We have been curious about numbers—and prime numbers—since antiquity. One notable new direction this century in the study of primes has been the influx of ideas from probability. The goal of this book is to provide insights into the prime numbers and to describe how a sequence so tautly determined can incorporate such a striking amount of randomness.There are two ways in which the book is exceptional. First, some familiar topics are covered with refreshing insight and/or from new points of view. Second, interesting recent developments and ideas are presented that shed new light on the prime numbers and their distribution among the rest of the integers. --- summary provided by publisher ER -